I prefer Attack Speed over Cooldown Reduction or Damage Increase on
weapons because attack speed on weapons is multiplicative with attack
speed on gear and thus allows you to get more value out of Archon stacks
and Pain Enhancer, but you are goig to reach the cap of 5.0 attacks per
second faster with this.Paragon priority

Audacity is one of the strongest damage buffs in the game, because
it is in its own buff category and thus multiplicative with every other
buff

Gameplay and Mechanics

The rest of this guide is done in my usual Q&A style, which should hopefully make this guide easier to follow.What does the set even do?
I suggest you to read the item descriptions. What does the gameplay look like?
If you want to see high-level wizard gameplay, I highly suggest checking out Quin69's GR70 clear.
Archon gameplay consists of six phases. After phase 6, go back to
phase 3. If you die (which is basically game over), go back to phase 1.

Build up 20 Chantodo's Resolve stacks

Enter Archon form and try to get as many stacks as possible

Reset Archon cooldown using Obsidian Ring of the Zodiac

Build up the remainder of the 20 Chantodo's Resolve stacks using Flame Blades

Enter Archon form with still overlapping stacks from The Swami, this
is where your damage is the highest (since you have overlapping stacks
and for part of this phase also the Flame Blades stacks)

Remaining time in Archon without overlapping stacks from The Swami
is spent trying to group up mobs while still trying to damage them, may
also be spent for going to the next group of mobs

What exactly does one Archon stack give me?
Every Archon stack is equal to 1% to all resistances, 1% to armor, 1%
to attack speed and 6% damage in the DIBS category (Damage Increase By
Skill). What is the DIBS category?
Damage buffs in Diablo III are sorted into categories. Buffs in the
same category are additive with each other, while the sums of all
categories get multiplied with each other.

Archon being in DIBS is bad, because most damage buffs are in the
DIBS category. This makes Archon wizards benefit less from group buffs
or certain skills, since they diminish in value. It also makes power
pylons have almost no effect for Archon wizards.When do I use either Arcane Strike or Disintegration Wave in Archon
Arcane Strike freezes enemies, which makes enemies resistant to crowd
control even faster. There is no value in using Ancient Parthan
Defenders if all enemies around you are resistant to crowd control, so
you should use Disintegration Wave when enemies are not yet crowd
control resistant.

If you intend to ramp up Bane of the Stricken stacks, you should use
Arcane Strike, since it hits more often (and also does slightly more
damage most of the time, depending on the attack speed breakpoint you
hit).

When using the Disintegration Wave ability, make sure to describe a
cone with the beam that as many monsters as possible within one attack
cycle. Since Disintegration Wave is a channeling ability, you can
animation cancel it with a non-channeling ability like Teleport to move
around without wasting any attack cycles you could have gained archon
stacks in. This is not possible when using Arcane Strike, since it is
not considered a channeling spell.What about the other Archon abilities?
You enable Slow Time once you enter Archon form and you use Arcane
Blast as often as possible. I highly suggest numlocking the latter.

Teleport is used for mobility, survivability and gathering mobs. It
can also be used to skip bad maps completely when used in conjunction
with Aether Walker, which makes you need less Greater Rift keys when
fishing for the perfect rift.Why do you suggest using Aether Walker over The Furnace or other items?

Fishing for the perfect rift: More mobility means you need less rift keys

Obsidian Ring of the Zodiac procs are not being wasted on Teleport when outside of Archon

Being able to constantly teleport around allows you to control what
mobs get resistant to your freezes and reposition yourself better and
more frequently to adjust to their crowd control resistance

Crowd control resistances? What is that?
As explained by Wyatt Cheng in this post:

When monsters are CC'ed, they get 10% CC resist for every second they
are CC'ed. If you CC them for 2.5 seconds, they gain 25% CC resist.
Prior to 2.3.0, this capped out at 65%, so if a monster had been
CC'ed for 8 seconds, it would still only apply 65% of it's CC resist. As
for 2.3.0, this now caps at 95%. In other words, monsters can reduce
the effectiveness of your CC abilities to 5% of their full duration IF
they had already been CC'ed for 9.5 seconds or more prior to that.
This CC resist naturally decays at a rate of 5% per second while the monster is NOT CC'ed and free to act.
Note 1: soft" CC's such as movement speed slows are not affected by, nor do they effect, this CC resist in any way.
Note 2: When CC resist was initially implemented it decayed by 10%.
This was changed to 5% in Reaper of Souls Note 3: We experimented with a
20% minimum during PTR but did not like it, so that change did NOT go
live.

This means that your survivability is based on your constant
repositioning and that you will have to gather new mobs all the time
using teleport, because you will at all times want mobs around you that
are not resistant to crowd control yet.What is animation cancelling channeling abilities?
Wizards channeling abilities can be cancelled by some spells, so you
can effectively cast two spells in the same attack speed cycle.

This can be abused so you can gain Archon stacks while teleporting and using Disintegration Wave at the same time.

In an alternate version of this build where you swap Frost Nova for Blizzard - Snowbound,
you can spam Blizzard while channeling Arcane Torrent to animation
cancel it so you get two Obsidian Ring of the Zodiac procs in only one
attack cycle.What do I do with each pylon?

Channeling

Allows you to recover from death more easily by resetting Archons cooldown

Allows you to get more Flame Blades stacks

Conduit

Gather density, take conduit, kill stuff

Power

More damage, but value diminishes the more Archon stacks you have

Best to take in phase 6, because you will then have the most uptime on it when you have no overlap

Shield

Very good in phase 1-5, when you are the squishiest

Good to kill mobs that are fully resistant to crowd control

Speed

Movement speed effect is basically useless, because you ever only move using the teleport skill

Knockup effect counts as crowd control, and thus makes mobs become resistant to crowd control faster

Only take when fighting bosses, because the knockup hits count as hits for Bane of the Stricken